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Worksheets

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Total questions: 184

Worksheet time: 2hrs 19mins

Name
Class
Date
1.
52
a)
16
b)
25
c)
20
d)
10
2.
42
a)
8
b)
15
c)
18
d)
16
3.
132
a)
26
b)
196
c)
144
d)
169
4.
152
a)
196
b)
289
c)
256
d)
225
5.
√400
a)
20
b)
19
c)
14
d)
18
6.
√100
a)
15
b)
10
c)
11
d)
12
7.
√121
a)
12
b)
10
c)
11
d)
3
8.
√16
a)
4
b)
8
c)
2
d)
9
9.
√256
a)
14
b)
16
c)
13
d)
17
10.
√64
a)
3
b)
8
c)
7
d)
6
11.
√81
a)
9
b)
10
c)
8
d)
6
12.
Find the AREA of this figure.
a)
20 square feet
b)
20 cm
c)
25 square cm
d)
20 cm sq.
13.

Jamal is making a new gaming system, and he wants the top to be 361 square millimeters. What is the length of one side?

a)

17

b)

18

c)

19

d)

16

14.

Waters Middle school band has 324 students. How many students should be in each row?

a)

16

b)

15

c)

17

d)

18

15.

Isaiah is creating a Spongebob poster and the side is 17 inches. What is the area of the Spongebob?

a)

17

b)

289

c)

300

d)

298

16.

What are the dimensions of the grid?

a)

6x6

b)

7x7

c)

8x8

d)

9x9

17.

What are the dimensions of this grid?

a)

7x7

b)

8x8

c)

9x9

d)

10x10

18.

What are the dimensions of the grid?

a)

4x4

b)

5x5

c)

6x6

d)

7x7

19.

What are the dimensions of the grid?

a)

1x1

b)

2x2

c)

3x3

d)

4x4

20.

What are the dimensions of this grid?

a)

1x1

b)

2x2

c)

3x3

d)

4x4

21.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
22.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
23.
Evaluate
√36
a)
6
b)
-9
c)
18
d)
-18
24.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
25.
What is the area of a square with a side of 7?
a)
14
b)
28
c)
49
d)
64
26.

132=16913^2=169  

a)

TRUE

b)

FALSE

27.

What is the area of a 3 cm square?

a)

6cm26cm^2

b)

9cm29cm^2

28.
√16
a)
4
b)
8
c)
2
d)
9
29.
√121
a)
12
b)
10
c)
11
d)
3
30.
√25
a)
2
b)
3
c)
5
d)
6
31.
72
a)
50
b)
49
c)
14
d)
48
32.
92
a)
81
b)
100
c)
80
d)
72
33.
82
a)
16
b)
64
c)
24
d)
10
34.
22 = _____
a)
2
b)
6
c)
4
d)
16
35.

Mr. Kirsh decides to host a lemonade stand. His table has side lengths of 50 cm. What is the area of their table?

a)

25 cm

b)

25m squared

c)

5 cm2

d)

25 cm2

36.
Estimate √50. Round your answer to the nearest Whole Number. 
a)
5
b)
10
c)
25
d)
7
37.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
38.
Evaluate
√36
a)
6
b)
-9
c)
18
d)
-18
39.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
40.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
41.
What is the area of a square with a side of 7?
a)
14
b)
28
c)
49
d)
64
42.

12=21^2=2  

a)

TRUE

b)

FALSE

43.

132=16913^2=169  

a)

TRUE

b)

FALSE

44.

What is the area of a 3 cm square?

a)

6cm26cm^2

b)

9cm29cm^2

45.
√16
a)
4
b)
8
c)
2
d)
9
46.
√121
a)
12
b)
10
c)
11
d)
3
47.
√25
a)
2
b)
3
c)
5
d)
6
48.
72
a)
50
b)
49
c)
14
d)
48
49.
92
a)
81
b)
100
c)
80
d)
72
50.
82
a)
16
b)
64
c)
24
d)
10
51.
22 = _____
a)
2
b)
6
c)
4
d)
16
52.

Mr. Kirsh decides to host a lemonade stand. His table has side lengths of 50 cm. What is the area of their table?

a)

25 cm

b)

25m squared

c)

5 cm2

d)

25 cm2

53.
Estimate √50. Round your answer to the nearest Whole Number. 
a)
5
b)
10
c)
25
d)
7
54.
√ 9
a)
8
b)
9
c)
3
d)
81
55.
√ 100
a)
10
b)
5
c)
20
d)
100
56.

Which of the following is a perfect square?

a)

24

b)

48

c)

81

d)

110

57.

40\sqrt{40}  is between which two whole numbers ?

a)

A. 5 and 6

b)

B. 6 and 7

c)

C. 7 and 8

d)

D. 39 and 41

58.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

59.

Which would be the next number in the pattern?

36, 49, 64, 81 __

a)

82

b)

18

c)

64

d)

100

60.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
61.
Which number has a square root that is between 7 and 8?
a)
48
b)
81
c)
60
d)
36
62.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
63.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
64.

6425=y5\sqrt{\frac{64}{25}}=\frac{y}{5}  
What is y?

a)

4

b)

8

65.

(14)2=\left(\frac{1}{4}\right)^2=  

a)

18\frac{1}{8}  

b)

116\frac{1}{16}  

66.

Which of the following "ARE" true ? 

(More than 1 correct answer)

a)

1 is the number of perfect square

b)

32=63^2=6

c)

92=9\sqrt{9^2}=9

d)

Square root of 4 is 16

e)

1 is not a perfect square number.

67.

How do you find the area of a square?

a)

Length + Width

b)

(Side) x 4

c)

(Side) x (Side)

d)

Width x 2

68.
What is the side length of a square that has an area of 36?
a)
9
b)
18
c)
6
d)
1296
69.

324 students of a school are to be seated in way that there are as many rows as there are students in each row . How many students should be in each row?

a)

16

b)

15

c)

17

d)

18

70.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
71.

Which statement is NOT true?

a)

169\sqrt{169} = 13

b)

15215^2 = 225

c)

42 = 16\sqrt{16}

d)

64\sqrt{64} = 8

72.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

73.

 1449=\ \sqrt{\frac{144}{9}}=  

a)

129\frac{12}{9}  

b)

4

c)

2

d)

312\frac{3}{12}  

74.

14+3520 =\sqrt{14+35}-20\ =  

a)

-13

b)

29

c)

13

d)

-29

75.
The square root of 1.96 is_____
a)
1.4
b)
0.14
c)
1.2
d)
0.12
76.

16=?\sqrt{16}=?  

a)

8

b)

2

c)

4

d)

32

77.

92=189^2=18  True or false?

a)

True

b)

False

78.

144-\sqrt{144}  

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number) 

79.

144\sqrt{-144}  

a)

12

b)

-12

c)

72

d)

none of the above (imaginary number)

80.

383_{\sqrt{8}}    (cube root of 8) 

a)

2

b)

±2\pm2  

c)

-2

d)

None of the above 

81.

313_{\sqrt{-1}}  (cube root of -1)

a)

±1\pm1  

b)

1

c)

-1

d)

none of the above (imaginary number)

82.

The area of a square painting is 81 cm2cm^2  . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

83.

62-6^2  = ? 

a)

36

b)

-36

c)

12

d)

-12

84.

(6)2\left(-6\right)^2  = ?

a)

12

b)

-12

c)

-36

d)

36

85.

(1681)  = ?\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?  

a)

827\frac{8}{27}  

b)

89\frac{8}{9}  

c)

49\frac{4}{9}  

d)

43\frac{4}{3}  

86.

Solve for p when p2=100p^2=100  

a)

±10\pm10  

b)

10

c)

±1,000\pm1,000  

d)

1,000

87.

Solve for x when x3=18x^3=\frac{1}{8}  

a)

2

b)

164\frac{1}{64}  

c)

13\frac{1}{3}  

d)

12\frac{1}{2}  

88.

Write an equation for the phrase "Two cubed is equal to the square root of x".

a)

4=164=\sqrt{16}

b)

22=x2^2=\sqrt{x}

c)

23 =x2^{3\ }=\sqrt{x}

d)

x=2\sqrt{x}=2

89.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

90.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

91.

Which of the following is irrational?

a)

49\sqrt{49}

b)

50\sqrt{50}

c)

81\sqrt{81}

d)

121\sqrt{121}

92.
What's the square root of √4?
a)
2
b)
6
c)
9
d)
11
93.
What's the square root of √25?
a)
2
b)
10
c)
5
d)
15
94.
What's the square root of √49?
a)
9
b)
7
c)
4
d)
8
95.
What's the square root of √225?
a)
5
b)
2
c)
None
d)
15
96.
What's the square root of √27?
a)
None
b)
7
c)
4
d)
20
97.
True or false?
All numbers are perfect squares.
a)
True
b)
False
98.
What is a square root?
a)
A square with roots
b)
A number which, when multiplied by itself, results in another number
c)
a real number that can be written as a simple fraction
d)
The number in front of the variable
99.
What is another name for Square Number?
a)
Perfect Square
b)
Whole Number
c)
Square Roots
d)
Integer
100.
Does every number have an Integer for a square root?
a)
Yes 
b)
No
c)
Only if they are perfect squares
101.
What is the square root of √81?
a)
8
b)
4
c)
9
d)
14
102.
What's the square root of √4?
a)
2
b)
6
c)
9
d)
11
103.
What's the square root of √25?
a)
2
b)
10
c)
5
d)
15
104.
What's the square root of √49?
a)
9
b)
7
c)
4
d)
8
105.
What's the square root of √225?
a)
5
b)
2
c)
None
d)
15
106.
What's the square root of √27?
a)
None
b)
7
c)
4
d)
20
107.
True or false?
All numbers are perfect squares.
a)
True
b)
False
108.
What is a square root?
a)
A square with roots
b)
A number which, when multiplied by itself, results in another number
c)
a real number that can be written as a simple fraction
d)
The number in front of the variable
109.
What is another name for Square Number?
a)
Perfect Square
b)
Whole Number
c)
Square Roots
d)
Integer
110.
Does every number have an Integer for a square root?
a)
Yes 
b)
No
c)
Only if they are perfect squares
111.
What is the square root of √81?
a)
8
b)
4
c)
9
d)
14
112.
What's the square root of √4?
a)
2
b)
6
c)
9
d)
11
113.
What's the square root of √25?
a)
2
b)
10
c)
5
d)
15
114.
What's the square root of √49?
a)
9
b)
7
c)
4
d)
8
115.
What's the square root of √225?
a)
5
b)
2
c)
None
d)
15
116.
What's the square root of √27?
a)
None
b)
7
c)
4
d)
20
117.
True or false?
All numbers are perfect squares.
a)
True
b)
False
118.
What is a square root?
a)
A square with roots
b)
A number which, when multiplied by itself, results in another number
c)
a real number that can be written as a simple fraction
d)
The number in front of the variable
119.
What is another name for Square Number?
a)
Perfect Square
b)
Whole Number
c)
Square Roots
d)
Integer
120.
Does every number have an Integer for a square root?
a)
Yes 
b)
No
c)
Only if they are perfect squares
121.
What is the square root of √81?
a)
8
b)
4
c)
9
d)
14
122.
What's the square root of √4?
a)
2
b)
6
c)
9
d)
11
123.
What's the square root of √25?
a)
2
b)
10
c)
5
d)
15
124.
What's the square root of √49?
a)
9
b)
7
c)
4
d)
8
125.
What's the square root of √225?
a)
5
b)
2
c)
None
d)
15
126.
What's the square root of √27?
a)
None
b)
7
c)
4
d)
20
127.
True or false?
All numbers are perfect squares.
a)
True
b)
False
128.
What is a square root?
a)
A square with roots
b)
A number which, when multiplied by itself, results in another number
c)
a real number that can be written as a simple fraction
d)
The number in front of the variable
129.
What is another name for Square Number?
a)
Perfect Square
b)
Whole Number
c)
Square Roots
d)
Integer
130.
Does every number have an Integer for a square root?
a)
Yes 
b)
No
c)
Only if they are perfect squares
131.
What is the square root of √81?
a)
8
b)
4
c)
9
d)
14
132.

Which of the following is a TRUE statement?

a)

To square a number, multiply the number by 2

b)

The inverse of squaring a number is to divide the number by 2.

c)

To square a number, multiply the number by itself.

d)

A perfect square is a number whose square root is an even number.

133.

Which of the following is NOT an example of a perfect square?

a)

9

b)

200

c)

4

d)

64

134.

Which of the following has a value that is less than zero?

a)

(6)2\left(-6\right)^2

b)

(13)2\left(\frac{1}{3}\right)^2

c)

0.520.5^2

d)

72-7^2

135.

Evaluate  92 +32 . 9^2\ +3^2\ .\  

a)

27

b)

12

c)

36

d)

90

136.

142 144.14^2\ -\sqrt{144}.  = ?

(a)  

137.

3144 = ?3\sqrt{144}\ =\ ?  

(a)  

138.

Evaluate 225   + 169 .Evaluate\ \sqrt{225\ }\ \ +\ \sqrt{169}\ .  

(a)  

139.

Michelle purchased a kids table with a square top. If the area of the square top is 400 square inches, what is the length of one of the sides?

a)

20 inches

b)

200 inches

c)

80 inches

d)

800 inches

140.

(56)2\left(\frac{5}{6}\right)^2  = (a)   . Leave your answer as fraction form.

141.

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

a)

13 feet

b)

52 feet

c)

26 feet

d)

676 feet

142.

What is the formula for Pythagorean Theorem?

a)

A2 + B2=C

b)

B2+C2=A2

c)

C2+B2=A2

143.

22

a)

4

b)

2

c)

6

d)

8

144.

32

a)

3

b)

6

c)

9

d)

12

145.

42

a)

4

b)

8

c)

12

d)

16

146.

52

a)

5

b)

15

c)

25

d)

50

147.

4\sqrt{4}   

a)

2

b)

1

c)

3

d)

4

148.

9\sqrt{9}  

a)

9

b)

1

c)

3

d)

2

149.

16\sqrt{16}  

a)

16

b)

4

c)

1

d)

2

150.

25\sqrt{25}  

a)

5

b)

25

c)

1

d)

3

151.

What does A2+B2=C2 represent?

a)

Hypotenuse + Leg = Leg

b)

Leg + Hypotenuse = Leg

c)

Leg + Leg = Hypotenuse

d)

Lizard + Lizard = Hippopotamus

152.

-√4

a)

-2

b)

2

c)

no solutions

d)

0

153.

√16

a)

-4

b)

4

c)

8

d)

0

154.

-√25

a)

5

b)

-5

c)

no solution

d)

0

155.

x2 = 36, select ALL x equals

a)

9

b)

6

c)

-6

d)

3

156.

x2 = 64, select ALL x equals

a)

-8

b)

8

c)

4

d)

16

157.

(-10)2 =

a)

5

b)

100

c)

-100

d)

20

158.
√25 =
a)
5
b)
-5
c)
5 and -5
159.

(-11)² =

a)

-121

b)

121

160.

(-13)² =

a)

169

b)

-169

161.

-(14)² =

a)

196

b)

-196

162.

(-15)² =

a)

225

b)

-225

163.

-(18)² =

a)

324

b)

-324

164.

(-19)² =

a)

361

b)

-361

165.
Between which two whole numbers is the
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
166.
Between which two whole numbers is the square root of 277?
a)
15 and 16
b)
16 and 17
c)
18 and 19
d)
14 and 15
167.

Jamal is making a new gaming system, and he wants the top to be 361 square millimeters. What is the length of one side?

a)

17

b)

18

c)

19

d)

16

168.

Waters Middle school band has 324 students. How many students should be in each row?

a)

16

b)

15

c)

17

d)

18

169.

Isaiah is creating a Spongebob poster and the side is 17 inches. What is the area of the Spongebob?

a)

17

b)

289

c)

300

d)

298

170.

What are the dimensions of the grid?

a)

6x6

b)

7x7

c)

8x8

d)

9x9

171.

What are the dimensions of this grid?

a)

7x7

b)

8x8

c)

9x9

d)

10x10

172.

What are the dimensions of the grid?

a)

4x4

b)

5x5

c)

6x6

d)

7x7

173.
Write the perfect square numbers for the equation below. (fill in the blanks)
6 x __ = __
a)
6 x 4 = 24
b)
6 x 6 = 36
c)
6 x 5 = 36
d)
6 x 3 = 12
174.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
175.

What is the square of 6?

a)

34

b)

35

c)

36

d)

37

176.

Find the value of 142

a)

196

b)

296

c)

256

d)

156

177.

What is the square root of 324?

a)

16

b)

17

c)

18

d)

28

178.

Find the value of

10000\sqrt{10000}  

a)

10

b)

100

c)

1000

d)

500

179.

Which of the following can not be a perfect square?

a)

146

b)

289

c)

377

d)

584

180.

Which of the following are not perfect squares?

a)

36

b)

100

c)

256

d)

120

181.

Find:

121169\sqrt{\frac{121}{169}}  

a)

1211\frac{12}{11}  

b)

1311\frac{13}{11}  

c)

1113\frac{11}{13}  

d)

1112\frac{11}{12}  

182.

By what number would you divide 300, so that resulting number is a perfect square?

a)

3

b)

4

c)

5

d)

6

183.

Find

625\sqrt{625}  

a)

15

b)

25

c)

35

d)

45

184.

Is 180 a perfect square?

a)

Yes

b)

No